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Springer Monographs in Mathematics, 2019
Critical point theory deals with variational problems and so it can be argued that it is as old as calculus. Nevertheless, in its modern form, critical point theory has its roots in the so-called “Dirichlet principle”.
Nikolaos S. Papageorgiou+2 more
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Critical point theory deals with variational problems and so it can be argued that it is as old as calculus. Nevertheless, in its modern form, critical point theory has its roots in the so-called “Dirichlet principle”.
Nikolaos S. Papageorgiou+2 more
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On topological and metric critical point theory
Journal of Fixed Point Theory and Applications, 2009Starting from the concept of Morse critical point, introduced in [19], we propose a possible approach to critical point theory for continuous functionals defined on topological spaces, which includes some classical results, also in an infinite-dimensional setting.
Marco Degiovanni
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Minimax methods in critical point theory with applications to differential equations
, 1986An overview The mountain pass theorem and some applications Some variants of the mountain pass theorem The saddle point theorem Some generalizations of the mountain pass theorem Applications to Hamiltonian systems Functionals with symmetries and index ...
P. Rabinowitz
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Fractional Calculus and Applied Analysis, 2019
In this paper, we study the existence of solutions for a class of p-Laplacian fractional boundary value problem. We give some new criteria for the existence of solutions of considered problem. Critical point theory and variational method are applied.
N. Nyamoradi, S. Tersian
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In this paper, we study the existence of solutions for a class of p-Laplacian fractional boundary value problem. We give some new criteria for the existence of solutions of considered problem. Critical point theory and variational method are applied.
N. Nyamoradi, S. Tersian
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SIAM Journal on Optimization, 2009
We study mathematical programs with complementarity constraints (MPCC) from a topological point of view. Special focus will be on C-stationary points. Under the linear independence constraint qualification (LICQ) we derive an equivariant Morse lemma at nondegenerate C-stationary points.
H. Th. Jongen+2 more
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We study mathematical programs with complementarity constraints (MPCC) from a topological point of view. Special focus will be on C-stationary points. Under the linear independence constraint qualification (LICQ) we derive an equivariant Morse lemma at nondegenerate C-stationary points.
H. Th. Jongen+2 more
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Existence Results for fractional boundary Value Problem via Critical Point Theory
International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 2012In this paper, by the critical point theory, the boundary value problem is discussed for a fractional differential equation containing the left and right fractional derivative operators, and various criteria on the existence of solutions are obtained. To
Feng Jiao, Yong Zhou
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Non-smooth critical point theory on closed convex sets
, 2013A critical point theory for non-differentiable functionals defined on a closed convex subset of a Banach space is worked out. Special attention is paid to the notion of critical point and possible compactness conditions of Palais-Smale's type.
S. Marano, S. Mosconi
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